Folding Rigid Origami with Closure Constraints

Zhonghua Xi and Jyh-Ming Lien

Overview

Rigid origami is a class of origami whose entire surface remains rigid during folding except at crease lines. In this work, we developed a method using randomized search to find rigid foldable path for a given crease pattern with a goal configuration. A rigid-foldable path is defined as a path that has two properties 1. self-intersection free, 2. maximum edge deformation is under user given bound.

Publications

Folding Rigid Origami with Closure Constraints, Zhonghua Xi and Jyh-Ming Lien, International Design and Engineering Technical Conferences & Computers and Information in Engineering Conference (IDETC/CIE), ASME, Aug. 2014
Web Site / Paper (pdf) / BibTeX

Software

Go to Software page

Results

From left to right: 5x5 Miura crease pattern (DOF = 40), intermediate state, folded state

Left: Folding path found with a maximum 5% deformation bound on above 5x5 Miura crease pattern

Right: Edge deformation during folding

From left to right: Waterbomb crease pattern, folded cylinder shape, flat folded state

Folding angles for a Waterbomb crease pattern fold to Cylinder/flat

Videos

Folding Waterbomb Crease Pattern to Cylinder/Flat

Related Works

Origami
Related publications
- Folding and Unfolding Origami Tessellation by Reusing Folding Path, Zhonghua Xi and Jyh-Ming Lien, 2015 IEEE International Conference on Robotics and Automation (ICRA), May. 2015
  Web Site / Paper (pdf) / BibTeX
  @inproceedings { xl-rigid-icra-15 , author = {Zhonghua Xi and Jyh-Ming Lien} , booktitle = {2015 IEEE International Conference on Robotics and Automation (ICRA)} , title = {Folding and Unfolding Origami Tessellation by Reusing Folding Path} , year = {2015} , month = {May.} , address = {Seattle, WA} , keywords = {origami} }
  
  Plan Folding Motion for Rigid Origami via Discrete Domain Sampling, Zhonghua Xi and Jyh-Ming Lien, 2015 IEEE International Conference on Robotics and Automation (ICRA), May. 2015
  Web Site / Paper (pdf) / BibTeX
  @inproceedings { xl-discrete-icra-15 , author = {Zhonghua Xi and Jyh-Ming Lien} , booktitle = {2015 IEEE International Conference on Robotics and Automation (ICRA)} , title = {Plan Folding Motion for Rigid Origami via Discrete Domain Sampling} , year = {2015} , month = {May.} , address = {Seattle, WA} , keywords = {origami} }
  
  Differentiating Bending From Folding In Origami Engineering Using Active Materials, Carlye Lauff and Timothy W. Simpson and Mary Frecker and Zoubeida Ounaies and Saad Ahmed and Paris von Lockette and Rebecca Strzelec and Robert Sheridan and Jyh-Ming Lien, International Design and Engineering Technical Conferences & Computers and Information in Engineering Conference (IDETC/CIE), ASME, Aug. 2014
  Web Site / Paper (pdf) / BibTeX
  @inproceedings { lsf-bending-idetc-14 , author = {Carlye Lauff and Timothy W. Simpson and Mary Frecker and Zoubeida Ounaies and Saad Ahmed and Paris von Lockette and Rebecca Strzelec and Robert Sheridan and Jyh-Ming Lien} , booktitle = {International Design and Engineering Technical Conferences {\&} Computers and Information in Engineering Conference (IDETC/CIE)} , title = {Differentiating Bending From Folding In Origami Engineering Using Active Materials} , year = {2014} , month = {Aug.} , publisher = {ASME} , address = {Buffalo, NY} , keywords = {origami} }
  
  Determine Distinct Shapes of Rigid Origami, Zhonghua Xi and Jyh-Ming Lien, The 6th International Meeting on Origami in Science, Mathematics and Education (6OSME), Aug. 2014
  Web Site / Abstract (pdf) / BibTeX
  @inproceedings { xl-6osme-14 , author = {Zhonghua Xi and Jyh-Ming Lien} , booktitle = {The 6th International Meeting on Origami in Science, Mathematics and Education (6OSME)} , title = {Determine Distinct Shapes of Rigid Origami} , year = {2014} , month = {Aug.} , address = {Tokyo, Japan} , keywords = {origami} }

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